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One-dimensional soliton dynamics in the presence of a pinning potential Leduc, Benoit

Abstract

The dissipative effect of (what could be modeled as) a pinning center on the lowamplitude motion of a quasi-one-dimensional ferromagnetic soliton (domain wall) at temperature T = 0 is investigated. The method of collective coordinates is used to eliminate the problem of the zero-frequency eigenmode and the question is, subsequently, cast into a Caldeira-Leggett form to calculate the parametrized spectral density function. It is shown that this function equals zero below a specific frequency with the consequence that magnons, in the presence of a domain wall, have no dissipative effect at T = 0 on a slow moving wall trapped by a soft pinning center.

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